Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method

DOI10.1007/s10596-008-9120-zzbMath1179.65122OpenAlexW2054932685MaRDI QIDQ1044367

Trygve K. Nilssen, Kenneth Hvistendahl Karlsen, Trond Mannseth, Xue-Cheng Tai

Publication date: 11 December 2009

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-008-9120-z

zbMATH Keywords

finite difference methodinverse problemsnumerical experimentsparameter identificationnonlinear convection-diffusion equationpermeabilitynonlinear conjugate gradient methodporous media flowaugmented Lagrangian methodsconstrained minimization problemparameter estimationa

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (10)

An adaptive multigrid conjugate gradient method for the inversion of a nonlinear convection-diffusion equation ⋮ Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems ⋮ Identification of diffusion parameters in a non-linear convection–diffusion equation using adaptive homotopy perturbation method ⋮ A wavelet multiscale method for the inverse problem of a nonlinear convection-diffusion equation ⋮ BDF2 schemes for optimal parameter control problems governed by bilinear parabolic equations ⋮ A nonlinear multigrid method for inverse problem in the multiphase porous media flow ⋮ Methods to recover unknown processes in partial differential equations using data ⋮ Reconstruction of a permeability field with the wavelet multiscale-homotopy method for a nonlinear convection-diffusion equation ⋮ Identification of space-dependent permeability in nonlinear diffusion equation from interior measurements using wavelet multiscale method ⋮ An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation

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